Low regularity solutions of the Chern-Simons-Higgs equations
in the Lorentz gauge

Nikolaos Bournaveas
Abstract:
We prove local well-posedness for the 2+1-dimensional
Chern-Simons-Higgs equations in the Lorentz gauge with initial
data of low regularity. Our result improves earlier results
by Huh [10, 11].